In this communication we report our investigation of the time evolution of a single two-level ion in an anharmonic trap potential, while interacting with a single-mode laser light field. The anharmonicity of the trap potential is parametrized by the deformation parameter q. Such an anharmonic...

In this paper we have investigated the eigenenergy spectrum of the k-quantum q-deformed Jaynes–Cummings (JC) model without the rotating-wave approximation (RWA). Our analysis has shown that the k-quantum q-deformed JC model without the RWA does not have eigenstates in the Hilbert space spanned...

By the method of eigenfunction expansion, we study the linear response to a time-dependent external field for stochastic systems described by the one-dimensional subdiffusive fractional Fokker–Planck equation with a general confining potential and natural boundary conditions; an expression for...

We study the dynamical properties of bistable systems described by the one-dimensional subdiffusive fractional Fokker–Planck equation, for the natural boundary conditions as well as the absorbing boundary conditions. We have investigated the propagators, the auto-correlation function, the...

We study the response of a stochastic system described by the one-dimensional Fokker–Planck equation with a sextic double-well potential U6(x)=(−c4x4+c6x6) to a weak sinusoidal periodic signal. Two types of boundary conditions have been investigated: (i) absorbing boundary conditions, and...

We study the Fokker–Planck equation of one-dimensional bistable systems with symmetric as well as asymmetric potentials. In this work, the method of state-dependent diagonalization (SDD) is proposed for solving the eigenvalue problem of the associated Schrödinger equation. The example of a...